Ebook: Joint chance-constrained reliability optimization with general form of distributions

Abstract – Probabilistic or stochastic programming is a framework for modeling optimization problems that involve
uncertainty. Stochastic programming models arise as reformulations or extensions of reliability optimization
problems with random parameters. Moreover, the resource elements vary and it is reasonable to consider them as
stochastic variables. In this paper, we describe the chance-constrained reliability stochastic optimization (CCRSO)
problem for which the objective is to maximize the system reliability for the given joint chance constraints where
only the resource variables are random in nature and which follow different general form of distributions. Few
numerical examples are also presented to illustrate the applicability of the methodology.
Keywords – Chance-constrained programming, reliability optimization, joint constraints, general form of
distributions.